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Finding the Third Proportional to 59,223 and 125,097

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Solution

The third proportional to 59,223 and 125,097 is: 264,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,223 : 125,097 = 125,097 : x
  2. Step 2: Convert to fraction form
    59,223/125,097 = 125,097/x
  3. Step 3: Cross multiply
    59,223x = 125,097 × 125,097
  4. Step 4: Simplify right side
    59,223x = 15,649,259,409
  5. Step 5: Solve for x
    x = 15,649,259,409/59,223
  6. Step 6: Final answer
    x = 264,242.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.